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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access December 30, 2016

The Poincaré Inequality Does Not Improve with Blow-Up

  • Andrea Schioppa

Abstract

For each β > 1 we construct a family Fβ of metric measure spaces which is closed under the operation of taking weak-tangents (i.e. blow-ups), and such that each element of Fβ admits a (1, P)-Poincaré inequality if and only if P > β.

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Received: 2016-1-13
Accepted: 2016-12-30
Published Online: 2016-12-30

© 2016 Andrea Schioppa

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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